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simplify (4-v(3))^(2)

a. 9
b. 19-8√(3)
c. 16-2√(3)+√(9)
d. 13-8√(3)

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1 Answer

 ( 4 - √3 )2
 
   Here there is a binomial raised 2 2nd power:
 
    ( 4 - √3 ) ( 4 -√3) = 
 
     Have to distribute it twice:
 
    ( 4 - √3 ) 4 - √3 ( 4 - √3 ) =
 
    16 - 4 √3 - 4√3 + 3 =
 
     19 - 8√3 
    Answer b is correct.